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Finding the Fourth Proportional to 1,549.44, 2,139.84 and 1,526.40

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Solution

The fourth proportional to 1,549.44, 2,139.84 and 1,526.40 is: 2,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.44 : 2,139.84 = 1,526.40 : x
  2. Step 2: Convert to fraction form
    1,549.44/2,139.84 = 1,526.40/x
  3. Step 3: Cross multiply
    1,549.44x = 2,139.84 × 1,526.40
  4. Step 4: Simplify right side
    1,549.44x = 3,266,251.78
  5. Step 5: Solve for x
    x = 3,266,251.78/1,549.44
  6. Step 6: Final answer
    x = 2,108.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.